Updating Reliability of Instrumented Geotechnical Systems via Simple Monte Carlo Simulation

In this research, a new method is proposed to update reliability based on data recorded by instruments and sensors installed on geotechnical systems. The method is founded on Bayesian analysis and Monte Carlo simulation and is capable of estimating the functional relationship between the updated failure probability and the monitoring value. It is shown that as long as the probability distribution of the uncertainties and the mathematical model of the target system are given, this relationship can be obtained prior to the monitoring process. This new method may be applied to safety monitoring of in-construction geotechnical systems and monitoring of existing geotechnical systems.

[1]  R. Jardine.  Some Observations on the Kinematic Nature of Soil Stiffness , 1992 .

[2]  Wilson H. Tang,et al.  Probability concepts in engineering planning and design , 1984 .

[3]  E. Jaynes.  Information Theory and Statistical Mechanics , 1957 .

[4]  D. Wood.  Soil Behaviour and Critical State Soil Mechanics , 1991 .

[5]  James L. Beck,et al.  Real-time Reliability Estimation for Serviceability Limit States in Structures with Uncertain Dynamic Excitation and Incomplete Output Data , 2007 .

[6]  Charles C. Ladd,et al.  New design procedure for stability of soft clays , 1974 .

[7]  Chang-Yu Ou,et al.  Performance of Diaphragm Wall Constructed Using Top-Down Method , 1998 .

[8]  Kok-Kwang Phoon,et al.  Reliability-Based Design of Foundations for Transmission Line Structures , 2006 .

[9]  Lawrence L. Kupper,et al.  Probability, statistics, and decision for civil engineers , 1970 .

[10]  J. Beck,et al.  Bayesian Updating of Structural Models and Reliability using Markov Chain Monte Carlo Simulation , 2002 .

[11]  E. T. Jaynes,et al.  Papers on probability, statistics and statistical physics , 1983 .

[12]  U. von Matt,et al.  Gauss quadrature , 1998 .

[13]  J. Beck,et al.  First excursion probabilities for linear systems by very efficient importance sampling , 2001 .

[14]  C Y Ou,et al.  USE OF THE MODIFIED HYPERBOLIC MODEL IN EXCAVATION ANALYSIS UNDER UNDRAINED CONDITION , 1997 .

[15]  Palle Thoft-Christensen,et al.  Application of Structural Systems Reliability Theory , 1986 .

[16]  Alfredo Ang H.-S.,et al.  Probability concepts in engineering planning and design, vol i : basic principles , 1979 .

[17]  J. M. Duncan,et al.  Nonlinear Analysis of Stress and Strain in Soils , 1970 .

[18]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[19]  Chang-Yu Ou,et al.  Shape of ground surface settlement profiles caused by excavation , 1998 .

[20]  Niels C. Lind,et al.  Methods of structural safety , 2006 .